rove that if n2 is a multiple of 6, then n is also a multiple of 6. [Hint: Consider residues 1odulo 6. An integer being a multiple of 6 means 3 and 2 are both factors may be a helpful act, as well.] olve the following congruences.
rove that if n2 is a multiple of 6, then n is also a multiple of 6. [Hint: Consider residues 1odulo 6. An integer being a multiple of 6 means 3 and 2 are both factors may be a helpful act, as well.] olve the following congruences.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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![7. Prove that if n² is a multiple of 6, then n is also a multiple of 6. [Hint: Consider residues
modulo 6. An integer being a multiple of 6 means 3 and 2 are both factors may be a helpful
fact, as well.]
8. Solve the following.congruences.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5b0702a9-19e2-4386-bbd9-e0ccdec0e93e%2Fadabd0fb-1c43-429d-85c7-15920deb25ec%2F7wbrkdo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:7. Prove that if n² is a multiple of 6, then n is also a multiple of 6. [Hint: Consider residues
modulo 6. An integer being a multiple of 6 means 3 and 2 are both factors may be a helpful
fact, as well.]
8. Solve the following.congruences.
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